Projectively flat log smooth pairs

Stéphane Druel

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arXiv · 2112.05449

Projectively flat log smooth pairs

Stéphane Druel

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Abstract

In this article, we study projective log smooth pairs with numerically flat normalized logarithmic tangent bundle. Generalizing works of Jahnke-Radloff and Greb-Kebekus-Peternell, we show that, passing to an appropriate finite cover and up to isomorphism, these are the projective spaces or the log smooth pairs with numerically flat logarithmic tangent bundles blown-up at finitely many points away from the boundary. On the other hand, the structure of log smooth pairs with numerically flat logarithmic tangent bundle is well understood: they are toric fiber bundles over finite \'etale quotients of abelian varieties.

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BibTeX RIS

Stéphane Druel. 2021-12-10. Projectively flat log smooth pairs. https://arxiv.org/abs/2112.05449

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